Hardness Conversion Calculator
Convert between Rockwell C, Rockwell B, Brinell HB, Vickers HV, and approximate tensile strength using ASTM E140 data
This free online hardness conversion calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Supports both metric (SI) and imperial units with built-in unit selection dropdowns on every input field, so you can work in whatever units your problem provides. Designed for engineering students and professionals working through coursework, design projects, or quick reference calculations.
Hardness Conversion (ASTM E140)
Equivalent Hardness Values
Values interpolated from ASTM E140 approximate conversion table. Conversions are approximate; use published tables for precision work.
Reference Table (selected rows)
| HRC | HRB | HB | HV | UTS (MPa) / (ksi) |
|---|---|---|---|---|
| 68 | — | 739 | 940 | 2490 |
| 60 | — | 578 | 746 | 1944 |
| 52 | — | 471 | 591 | 1538 |
| 44 | — | 401 | 495 | 1276 |
| 36 | — | 344 | 421 | 1069 |
| 28 | — | 294 | 359 | 896 |
| 20 | 98 | 248 | 300 | 758 |
| — | 90 | 201 | 240 | 614 |
| — | 82 | 162 | 194 | 503 |
| — | 74 | 130 | 156 | 421 |
| — | 66 | 105 | 127 | 365 |
How to Use This Calculator
Enter your input values
Fill in all required input fields for the Hardness Conversion Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.
Review your inputs
Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.
Read the results
The Hardness Conversion Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.
Explore parameter sensitivity
Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.
Formula Reference
Hardness Conversion Calculator Formula
See calculator inputs for the governing equation
Variables: All variables and their units are labeled in the calculator interface above. Input fields accept values in multiple unit systems — select your preferred unit from the dropdown next to each field.
When to Use This Calculator
- •Use the Hardness Conversion Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations — instant feedback helps identify arithmetic errors before they propagate.
- •Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
- •Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
- •Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
- •Use it in the field when a quick estimate is needed and a full engineering software package is not available.
About This Calculator
The Hardness Conversion Calculator is a precision engineering calculation tool designed for students, engineers, and technical professionals. Convert between Rockwell C, Rockwell B, Brinell HB, Vickers HV, and approximate tensile strength using ASTM E140 data All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Inputs support both metric (SI) and imperial unit systems, with unit conversion handled automatically — simply select your preferred unit from the dropdown next to each field. Results are computed instantly in the browser without sending data to a server, ensuring both speed and privacy. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.
The Theory Behind It
Hardness is a measure of a material's resistance to localized plastic deformation, typically measured by pressing a hard indenter into the surface and measuring the resulting impression size or depth. Different hardness tests use different indenters and loads: Rockwell C uses a diamond cone at 150 kgf load for hard steels; Rockwell B uses a 1.6 mm ball at 100 kgf for softer materials; Brinell HB uses a 10 mm ball at 500-3000 kgf for large specimens; Vickers HV uses a 136° diamond pyramid at 1-100 kgf, producing a pyramidal impression measured diagonally; Knoop HK uses an elongated diamond pyramid for thin layers and brittle materials. Conversion between hardness scales is empirical — no exact formula exists because different tests measure slightly different mechanical responses. ASTM E140 provides conversion tables for ferrous and non-ferrous alloys based on extensive cross-testing. Typical steel hardness values: mild steel HRB 70-85; hardened tool steel HRC 58-65; case-hardened gear teeth HRC 55-62; file hardness HRC 58-62; cutting tool edges HRC 60-67. The Vickers test is considered the most 'universal' because it uses the same indenter and formula across a wide hardness range, making it the preferred reference scale in research. Conversion to tensile strength is also approximate but useful: for steels, S_u (MPa) ≈ 3.45 × HB (Brinell) is a common rule of thumb valid for HB 125-400. The calculator converts between HRC, HRB, HB, HV, HK, and estimates approximate tensile strength from hardness.
Real-World Applications
- •Heat treatment verification: after quenching and tempering, check hardness to confirm the target condition has been reached. HRC for hardened steels, HRB for annealed or low-carbon steels.
- •Cross-referencing vendor specifications: when a drawing specifies HRC but your measurement instrument reads in HB, convert between scales to verify compliance.
- •Estimating tensile strength: for cases where direct tensile testing isn't practical, use HB × 3.45 ≈ S_u (MPa) as a first estimate of ultimate tensile strength.
- •Material identification: unknown materials can sometimes be identified by their hardness combined with other observable properties, using tables of typical values for common alloys.
- •Quality control in heat-treating shops: sampling hardness on batches of quenched parts to verify process consistency.
Frequently Asked Questions
How do I convert Rockwell C to Brinell?
Use ASTM E140 conversion tables. Approximate: HRC 20 ≈ HB 225; HRC 30 ≈ HB 286; HRC 40 ≈ HB 371; HRC 50 ≈ HB 481; HRC 60 ≈ HB 650. The conversions are valid only for ferrous materials tested at standard loads and are not applicable to non-ferrous or heavily work-hardened materials where different conversion tables apply.
Which hardness scale should I use?
Rockwell B for softer materials (brass, mild steel, aluminum): HRB 0-100. Rockwell C for harder materials (hardened steel, tool steel): HRC 20-70. Brinell for large rough surfaces (castings, forgings): HB covers a wide range with single impressions. Vickers for research, thin layers, and universal comparison: HV covers nearly all materials on a single scale. Knoop for very thin hard coatings and brittle materials.
Why don't hardness tests give identical results?
Different tests use different indenter shapes, different loads, and measure different aspects of the indentation. A cone indenter produces different localized stress patterns than a ball, and the elastic-plastic response differs slightly. Conversion tables account for this but are empirical and species-specific. For research-grade precision, use the same test type for all comparisons.
How does hardness relate to tensile strength?
For steels, approximately S_u (MPa) ≈ 3.45 × HB, valid for HB 125-400. For aluminum: S_u ≈ 3.4 × HB. For copper: S_u ≈ 3.0 × HB. These are approximate correlations derived from empirical data. Use them as estimates only; for critical applications, measure tensile strength directly with standard tensile tests.
Is harder always better?
No — increased hardness typically reduces ductility and toughness. Very hard materials (HRC 60+) are brittle and can shatter under impact. Design balances hardness for wear resistance with sufficient toughness for the application. Gear teeth are case-hardened to HRC 55-60 at the surface but have tougher cores at HRC 30-35 for shock resistance.
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